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Exec-op-imm

Semantics of the non-shift instructions with the OP-IMM opcode [ISA:2.4.1].

Signature

(exec-op-imm funct rd rs1 imm stat feat) → new-stat

Arguments

funct — Guard (op-imm-funct-p funct).

rd — Guard (ubyte5p rd).

rs1 — Guard (ubyte5p rs1).

imm — Guard (ubyte12p imm).

stat — Guard (statp stat).

feat — Guard (featp feat).

Returns

new-stat — Type (statp new-stat).

Definitions and Theorems

Function: exec-op-imm

(defun exec-op-imm (funct rd rs1 imm stat feat)
  (declare (xargs :guard (and (op-imm-funct-p funct)
                              (ubyte5p rd)
                              (ubyte5p rs1)
                              (ubyte12p imm)
                              (statp stat)
                              (featp feat))))
  (declare (xargs :guard (stat-validp stat feat)))
  (let ((__function__ 'exec-op-imm))
    (declare (ignorable __function__))
    (op-imm-funct-case funct
                       :addi (exec-addi rd rs1 imm stat feat)
                       :slti (exec-slti rd rs1 imm stat feat)
                       :sltiu (exec-sltiu rd rs1 imm stat feat)
                       :andi (exec-andi rd rs1 imm stat feat)
                       :ori (exec-ori rd rs1 imm stat feat)
                       :xori (exec-xori rd rs1 imm stat feat))))

Theorem: statp-of-exec-op-imm

(defthm statp-of-exec-op-imm
  (b* ((new-stat (exec-op-imm funct rd rs1 imm stat feat)))
    (statp new-stat))
  :rule-classes :rewrite)

Theorem: exec-op-imm-of-op-imm-funct-fix-funct

(defthm exec-op-imm-of-op-imm-funct-fix-funct
  (equal (exec-op-imm (op-imm-funct-fix funct)
                      rd rs1 imm stat feat)
         (exec-op-imm funct rd rs1 imm stat feat)))

Theorem: exec-op-imm-op-imm-funct-equiv-congruence-on-funct

(defthm exec-op-imm-op-imm-funct-equiv-congruence-on-funct
  (implies (op-imm-funct-equiv funct funct-equiv)
           (equal (exec-op-imm funct rd rs1 imm stat feat)
                  (exec-op-imm funct-equiv rd rs1 imm stat feat)))
  :rule-classes :congruence)

Theorem: exec-op-imm-of-ubyte5-fix-rd

(defthm exec-op-imm-of-ubyte5-fix-rd
  (equal (exec-op-imm funct (ubyte5-fix rd)
                      rs1 imm stat feat)
         (exec-op-imm funct rd rs1 imm stat feat)))

Theorem: exec-op-imm-ubyte5-equiv-congruence-on-rd

(defthm exec-op-imm-ubyte5-equiv-congruence-on-rd
  (implies (ubyte5-equiv rd rd-equiv)
           (equal (exec-op-imm funct rd rs1 imm stat feat)
                  (exec-op-imm funct rd-equiv rs1 imm stat feat)))
  :rule-classes :congruence)

Theorem: exec-op-imm-of-ubyte5-fix-rs1

(defthm exec-op-imm-of-ubyte5-fix-rs1
  (equal (exec-op-imm funct rd (ubyte5-fix rs1)
                      imm stat feat)
         (exec-op-imm funct rd rs1 imm stat feat)))

Theorem: exec-op-imm-ubyte5-equiv-congruence-on-rs1

(defthm exec-op-imm-ubyte5-equiv-congruence-on-rs1
  (implies (ubyte5-equiv rs1 rs1-equiv)
           (equal (exec-op-imm funct rd rs1 imm stat feat)
                  (exec-op-imm funct rd rs1-equiv imm stat feat)))
  :rule-classes :congruence)

Theorem: exec-op-imm-of-ubyte12-fix-imm

(defthm exec-op-imm-of-ubyte12-fix-imm
  (equal (exec-op-imm funct rd rs1 (ubyte12-fix imm)
                      stat feat)
         (exec-op-imm funct rd rs1 imm stat feat)))

Theorem: exec-op-imm-ubyte12-equiv-congruence-on-imm

(defthm exec-op-imm-ubyte12-equiv-congruence-on-imm
  (implies (acl2::ubyte12-equiv imm imm-equiv)
           (equal (exec-op-imm funct rd rs1 imm stat feat)
                  (exec-op-imm funct rd rs1 imm-equiv stat feat)))
  :rule-classes :congruence)

Theorem: exec-op-imm-of-stat-fix-stat

(defthm exec-op-imm-of-stat-fix-stat
  (equal (exec-op-imm funct rd rs1 imm (stat-fix stat)
                      feat)
         (exec-op-imm funct rd rs1 imm stat feat)))

Theorem: exec-op-imm-stat-equiv-congruence-on-stat

(defthm exec-op-imm-stat-equiv-congruence-on-stat
  (implies (stat-equiv stat stat-equiv)
           (equal (exec-op-imm funct rd rs1 imm stat feat)
                  (exec-op-imm funct rd rs1 imm stat-equiv feat)))
  :rule-classes :congruence)

Theorem: exec-op-imm-of-feat-fix-feat

(defthm exec-op-imm-of-feat-fix-feat
  (equal (exec-op-imm funct rd rs1 imm stat (feat-fix feat))
         (exec-op-imm funct rd rs1 imm stat feat)))

Theorem: exec-op-imm-feat-equiv-congruence-on-feat

(defthm exec-op-imm-feat-equiv-congruence-on-feat
  (implies (feat-equiv feat feat-equiv)
           (equal (exec-op-imm funct rd rs1 imm stat feat)
                  (exec-op-imm funct rd rs1 imm stat feat-equiv)))
  :rule-classes :congruence)